Question

Among x³, 8x, 14, 8y, 5, 8x³, what are the like terms?

a) x³, 8x, 8x³
b) 14, 5
c) 8x, 8y
d) x³, 14, 5

Answer 1

Like terms are those terms that have identical variable parts with the same exponents. In the given list, x³ and 8x³ are like terms, as are the constants 14 and 5.

Step-by-step explanation:

When identifying like terms in an algebraic expression, we look for terms that have identical variable parts with the same exponents. When examining the given terms, x³, 8x, 14, 8y, 5, and 8x³, we see that the terms can be grouped based on their variable parts.

The like terms among these are:

• x³ and 8x³ - These terms both have x raised to the third power, making them like terms.
• 14 and 5 - These are like terms as they are both constant terms with no variables attached.

Therefore, the correct pairs of like terms are x³ and 8x³ for the variables and 14 and 5 for the constants.